Answer
Yes, he did. Williams won numerous awards for his work, including two Academy Awards for Best Original Score for "Schindler's List" and "Saving Private Ryan". He also won two Golden Globe Awards for Best Original Score for "Dances with Wolves" and "The Patriot". In addition, he won four BAFTA Awards for Best Original Score for "Schindler's List", "Saving Private Ryan", "Dances with Wolves", and "The Patriot".